Each year, researchers at the U.S. Bureau of Labor Statistics (BLS) administer the American Time Use Survey (ATUS). Researchers estimate the average amount of time Americans spend on daily activities, such as working, housework, and leisure activities. In particular, one activity that is of interest is the average amount of time Americans spend watching television each day.A researcher complied a random sample of 16 Americans and asked each person how much time they spent watching television each day. The results are given below.1.92.33.94.43.21.51.24.40.940.63.94.51.91.83.7Determine the point estimate, x¯ and the sample standard deviation, s. Round the solutions to four decimal places, if necessary.x¯=s=Using a 95% confidence level, determine the margin of error, EE, and a confidence interval for the average time Americans spend watching television each day. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary.The margin of error is given by E=.A 95% confidence interval is given by

Given,sample size(n)=16mean(x¯)=1.9+2.3+3.9+4.4+3.2+1.5+1.2+4.4+0.9+4+0.6+3.9+4.5+1.9+1.8+3.716mean(x¯)=44.116mean(x¯)=2.75625≅2.7563standard deviation(s)=∑i(xi-x¯)2n-1s=(1.9-2.7563)2+2.3-2.75632+3.9-2.75632+........+3.7-2.7563216-1s=1.891958333s=1.3755degrees of freedom(df)=n-1df=16-1=15α=1-0.95=0.05α2=0.025t0.025(15)=2.131 (from t-table)margin of error(E)=tα2 ×snE=2.131×1.375516E=0.7395% confidence interval (CI)=x¯±ECI=2.7563±0.73CI=(2.7563-0.73 , 2.7563+0.73)CI=(2.0263 , 3.4863)CI≅(2.03 , 3.49)

Answered: Each year, researchers at the U.S.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Each year, researchers at the U.S. Bureau of Labor Statistics (BLS) administer the American Time Use Survey (ATUS). Researchers estimate the average amount of time Americans spend on daily activities, such as working, housework, and leisure activities. In particular, one activity that is of interest is the average amount of time Americans spend watching television each day.

A researcher complied a random sample of 16 Americans and asked each person how much time they spent watching television each day. The results are given below.

1.9	2.3	3.9	4.4	3.2	1.5	1.2	4.4
0.9	4	0.6	3.9	4.5	1.9	1.8	3.7

Determine the point estimate, x¯ and the sample standard deviation, s. Round the solutions to four decimal places, if necessary.

x¯=

s=

Using a 95% confidence level, determine the margin of error, EE, and a confidence interval for the average time Americans spend watching television each day. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary.

The margin of error is given by E=.

A 95% confidence interval is given by

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